They established an SIS compartment model and proposed the famous threshold theory, which has laid a solid foundation for the study of the dynamics of infectious diseases [30].
The study lays the foundation for investigations into the dynamics and vibration control of multi-link articulated systems such as the Space Shuttle Remote Manipulator.
Listen for the dynamics of the song.
Selective loss of a foundation species alters the dynamics of forest ecosystems, including biogeochemical features., Learning from descriptive papers reporting on biogeochemical changes following disturbances is maximized by identifying the functional or mechanistic basis for these changes.
By declaring that motion and rest are primitive states of material bodies without need of further explanation, and that bodies only change their state when acted upon by an external cause, it is not an exaggeration to claim that Descartes helped to lay the foundation for the modern theory of dynamics (which studies the motion of bodies under the action of forces).
The dynamical properties of the Swift-Hohenberg equation, such as the existence of a global attractor, are important for the studies of pattern formation, which ensure the stability of pattern formation and provide a mathematical foundation for the study of pattern dynamics.
As we know, the dynamical properties of the 3He-4He suchem such as the global asymptotical behaviors of solutions and existence of global attractors, are important for the study of phase transition and separation for mixture of liquid 3He and 4He, which ensure the stability of phase transition and provide the mathematical foundation for the study of phase transition dynamics.
This has opened the opportunity for testing the foundations of quantum mechanics, for simulating complex many-body behavior, and for studying the dynamics of interacting spin chains [3 5].
Our findings provide a foundation for studying the evolutionary dynamics of trans-generational processes.
Our results may not be used to calculate the angle in the case of high Reynolds number, cohesive sediment and irregular sediment, however, it lays a theoretical foundation for further study on the dynamics angle of repose below the submarine pipeline.
